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Finding the Fourth Proportional to 10,952.30, 16,424.40 and 3,929.60

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Solution

The fourth proportional to 10,952.30, 16,424.40 and 3,929.60 is: 5,892.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,952.30 : 16,424.40 = 3,929.60 : x
  2. Step 2: Convert to fraction form
    10,952.30/16,424.40 = 3,929.60/x
  3. Step 3: Cross multiply
    10,952.30x = 16,424.40 × 3,929.60
  4. Step 4: Simplify right side
    10,952.30x = 64,541,322.24
  5. Step 5: Solve for x
    x = 64,541,322.24/10,952.30
  6. Step 6: Final answer
    x = 5,892.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.